TOPIC TEST ON DATA REPRESENTATION
1) The following grouped frequency table show the score received by 275 students who sat a statistics
examination.
Score
0–9
10 – 19 20 – 29 30 – 34 35 – 39 40 – 49 50 – 59
Frequency
6
21
51
36
48
82
31
Represent the data in a histogram [6]
2) A school entered 88 students for an examination. The results of the examination are shown in the
table below.
Marks 0<x≤10 10<x≤20 20<x≤30 30<x≤40 40<x≤50 50<x≤60 60<x≤70 70<x≤80 80<x≤90
Freq
3
6
9
10
12
18
14
11
5
(a) Calculate the mean. [2]
(b) Using 2cm to represent 10 marks on the x-axis & 2cm to represent 10 students on the y-axis,
construct the cumulative frequency curve and estimate the median & interquartile range. [5]
Estimate from your graph the number of students who obtained ≥ 75 marks. [2]
TOPIC TEST ON DATA REPRESENTATION
1) The following grouped frequency table show the score received by 275 students who sat a statistics
examination.
Score
Frequency
0–9
6
10 – 19 20 – 29 30 – 34 35 – 39 40 – 49
21
51
36
48
82
Represent the data in a histogram [6]
50 – 59
31
2) A school entered 88 students for an examination. The results of the examination are shown in the
table below.
Marks 0<x≤10 10<x≤20 20<x≤30 30<x≤40 40<x≤50 50<x≤60 60<x≤70 70<x≤80 80<x≤90
Freq
3
6
9
10
12
18
14
11
5
(a) Calculate the mean. [2]
(b) Using 2cm to represent 10 marks on the x-axis & 2cm to represent 10 students on the y-axis,
construct the cumulative frequency curve and estimate the median & interquartile range. [5]
Estimate from your graph the number of students who obtained ≥ 75 marks. [2]
TOPIC TEST ON DATA REPRESENTATION
1) The following grouped frequency table show the score received by 275 students who sat a statistics
examination.
Score
0–9
10 – 19 20 – 29 30 – 34 35 – 39 40 – 49 50 – 59
Frequency
6
21
51
36
48
82
31
Represent the data in a histogram [6]
2) A school entered 88 students for an examination. The results of the examination are shown in the
table below.
Marks 0<x≤10 10<x≤20 20<x≤30 30<x≤40 40<x≤50 50<x≤60 60<x≤70 70<x≤80 80<x≤90
Freq
3
6
9
10
12
18
14
11
5
(a) Calculate the mean. [2]
(b) Using 2cm to represent 10 marks on the x-axis & 2cm to represent 10 students on the y-axis,
construct the cumulative frequency curve and estimate the median & interquartile range. [5]
Estimate from your graph the number of students who obtained ≥ 75 marks. [2]
ANSWER FOR DATA REPRESENTATION
1) Boundary:
-0.5 9.5 19.5 29.5 34.5 39.5 49.5 59.5
Freq Density:
0.6 2.1 5.1 7.2 9.6 8.2 3.1
2) 𝑥̅ =
4370
88
= 49.66
(b)median≈52; I.Q.R =66 – 32 ≈32
(c) 11 students